Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 150/57,860/10,739/18
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 150,860,739
Greatest Common Factor of Numerators i.e. GCF of 150,860,739 is 1 .
LCM of Denominators means LCM of 57,10,18 as per the given fractions.
LCM of 57,10,18 is 1710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 150,860,739
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Greatest Common Factor
We found the factors 150,860,739 . The biggest common factor number is the GCF number.
So the greatest common factor 150,860,739 is 1.
Lets's calculate LCM of 57,10,18
2 | 57, 10, 18 |
3 | 57, 5, 9 |
19, 5, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 5 x 3 = 1710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1710
Therefore, the GCF of Fractions 150/57,860/10,739/18 is 1/1710
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 57,10,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,10,18) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(57,10,18) x common factors =1 x 6 = 6
LCM(57,10,18) = ( 57 × 10 × 18 ) / 6
LCM(57,10,18) = 10260 / 6
LCM(57,10,18) = 1710
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 150/57, 860/10, 739/18?
Answer: GCF of Numerators as per given numbers 150/57, 860/10, 739/18 is
GCF of Numerators i.e. for 150,860,739 is 1
LCM of denominators i.e. for 57,10,18 is 1710.
Thus, GCF of Fractions is 1/1710.Finally, GCF of Fractions for 150/57, 860/10, 739/18 is 1/1710.